Answer: The side lengths of mirror and painting are 7 ft and 9 ft respectively.
Step-by-step explanation: Given that a square mirror has sides measuring 2 ft less than the sides of a square painting and the difference between their areas is 32 ft.
We are to find the lengths of the sides of the mirror and the painting.
Let x ft represents the length of the side of mirror. Then, the side length of square painting is (x+2) ft.
According to the given information, we have
Therefore, the side length of mirror is 7 ft and the side length of painting is (7+2) = 9 ft.
Thus, the side lengths of mirror and painting are 7 ft and 9 ft respectively.
Answer: First Question: True
Second Question: False
Third Question: False
Step-by-step explanation:
Based on the equations in the image, I used the substitution method.
The equation to this is A 5X+4Y=-20
Since the "size in square feet" is on the X-axis it is represented by the X in the equation. And Y is expected property tax
It is giving you a X-value of 3100. So you just have to plug 3100 into the X spot and solve for Y
y=.392(3100)+638.118
y=1853.318
So the third answer.
Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755
Step-by-step explanation:
Given that,
Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74
Random sample of freshman, n = 81
Utilizing central limit theorem,
So,
= P( Z > 0.0616)
= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.
